Strategy-proof allocation of indivisible goods

Strategy-proof allocation of a finite number of indivisible goods among a f inite number of individuals is considered. The main result is that in a pur e distributional case, a mechanism is strategy-proof, nonbossy and neutral if and only if it is serially dictatorial. If the indivisible goods are ini tially owned by the individuals, a mechanism is strategy-proof, individuall y rational and Pareto consistent if and only if it is:the core mechanism.